| Area of Mathematics | Algebra & Geometry (EAG) | ||
| Semester: | 6th | ||
| Course ID: | 62202 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS: | 5 | ||
| Eclass: | |||
| Instructors: |
Description
- Key concepts, ideals, quotient rings, radicals, prime and maximal ideals.
- Modules.
- Chain conditions, Noetherian and Artinian rings.
- Hilbert’s basis theorem.
- Integral dependence, integral extensions, algebraic integers, Noether’s normalization lemma.
- Nullstellensatz and geometric applications.
- Localization, prime ideal factorization.
- Discrete valuation rings.
Bibliography
- M. Reid. Undergraduate Commutative Algebra. Cambridge University Press, 1995.
